% Appendix A

\chapter{Additional plots}
\label{ch:addplots}

This appendix includes the figures that have been discarded from the thesis due to the low readability on the paper version.
The relevant data from this plots have been represented in the thesis in a more suitable way.
In \nameref{app:maxerr} the plots of the quartiles and means of the maximum error across cluster are displayed side by side for a better visual comparison, divided by scenario.
In \nameref{sec:annexallocated} the plots of the quartiles and means of the number of allocated robots are displayed side by side for a better visual comparison, divided by scenario. 

\begin{landscape}
\section{Maximum error}
\label{app:maxerr}
\begin{figure}[H]
\myfloatalign
\subfloat[Naive method]
{
\includegraphics[width=.30\linewidth]{{Figures/A.Naive.Error}.pdf}} 
\subfloat[Probabilistic method]
{
\includegraphics[width=.30\linewidth]{{Figures/A.Probabilistic.Error}.pdf}} 
\subfloat[Informed method]
{
\includegraphics[width=.30\linewidth]{{Figures/A.Informed.Error}.pdf}}
\caption[Comparison of the maximum allocation error $e_{\max}$ of the three methods on the scenario Uniform.]{Comparison of the maximum allocation error $e_{\max}$ of the three methods on the scenario Uniform on 50 trials of 1000 $s$ (10000 simulation steps) each.
The grey area corresponds to the interquantile range.}\label{fig:example}
\end{figure}
\end{landscape}

\begin{landscape}
\begin{figure}[H]
\myfloatalign
\subfloat[Naive method]
{
\includegraphics[width=.30\linewidth]{{Figures/B.Naive.Error}.pdf}} 
\subfloat[Probabilistic method]
{
\includegraphics[width=.30\linewidth]{{Figures/B.Probabilistic.Error}.pdf}} 
\subfloat[Informed method]
{
\includegraphics[width=.30\linewidth]{{Figures/B.Informed.Error}.pdf}}
\caption[Comparison of the maximum allocation error $e_{\max}$ of the three methods on the scenario Biased.]{Comparison of the maximum allocation error $e_{\max}$ of the three methods on the scenario Biased on 50 trials of 1000 $s$ (10000 simulation steps) each.
The grey area corresponds to the interquantile range.}\label{fig:example}
\end{figure}
\end{landscape}

\begin{landscape}
\begin{figure}[H]
\myfloatalign
\subfloat[Naive method]
{
\includegraphics[width=.30\linewidth]{{Figures/C.Naive.Error}.pdf}} 
\subfloat[Probabilistic method]
{
\includegraphics[width=.30\linewidth]{{Figures/C.Probabilistic.Error}.pdf}} 
\subfloat[Informed method]
{
\includegraphics[width=.30\linewidth]{{Figures/C.Informed.Error}.pdf}}
\caption[Comparison of the maximum allocation error $e_{\max}$ of the three methods on the scenario Corridor.]{Comparison of the maximum allocation error $e_{\max}$ of the three methods on the scenario Corridor on 50 trials of 1000 $s$ (10000 simulation steps) each.
The grey area corresponds to the interquantile range.}\label{fig:example}
\end{figure}
\end{landscape}

\begin{landscape}
\section{Allocated Robots}
\label{sec:annexallocated}
\begin{figure}[H]
\myfloatalign
\subfloat[Naive method]
{
\includegraphics[width=.30\linewidth]{{Figures/A.Naive.Robots}.pdf}} 
\subfloat[Probabilistic method]
{
\includegraphics[width=.30\linewidth]{{Figures/A.Probabilistic.Robots}.pdf}} 
\subfloat[Informed method]
{
\includegraphics[width=.30\linewidth]{{Figures/A.Informed.Robots}.pdf}}
\caption[Comparison of number of allocated robots $R(t)$ of the three methods on the scenario Uniform.]{Comparison of number of allocated robots $R(t)$ of the three methods on the scenario Uniform on 50 trials of 1000 $s$ (10000 simulation steps) each.
The grey area corresponds to the interquantile range.}\label{fig:example}
\end{figure}
\end{landscape}

\begin{landscape}
\begin{figure}[H]
\myfloatalign
\subfloat[Naive method]
{
\includegraphics[width=.30\linewidth]{{Figures/B.Naive.Robots}.pdf}} 
\subfloat[Probabilistic method]
{
\includegraphics[width=.30\linewidth]{{Figures/B.Probabilistic.Robots}.pdf}} 
\subfloat[Informed method]
{
\includegraphics[width=.30\linewidth]{{Figures/B.Informed.Error}.pdf}}
\caption[Comparison of number of allocated robots $R(t)$ of the three methods on the scenario Biased.]{Comparison of number of allocated robots $R(t)$ of the three methods on the scenario Biased on 50 trials of 1000 $s$ (10000 simulation steps) each.
The grey area corresponds to the interquantile range.}\label{fig:example}
\end{figure}
\end{landscape}

\begin{landscape}
\begin{figure}[H]
\myfloatalign
\subfloat[Naive method]
{
\includegraphics[width=.30\linewidth]{{Figures/C.Naive.Robots}.pdf}} 
\subfloat[Probabilistic method]
{
\includegraphics[width=.30\linewidth]{{Figures/C.Probabilistic.Robots}.pdf}} 
\subfloat[Informed method]
{
\includegraphics[width=.30\linewidth]{{Figures/C.Informed.Robots}.pdf}}
\caption[Comparison of number of allocated robots $R(t)$ of the three methods on the scenario Corridor.]{Comparison of number of allocated robots $R(t)$ of the three methods on the scenario Corridor on 50 trials of 1000 $s$ (10000 simulation steps) each.
The grey area corresponds to the interquantile range.}\label{fig:example}
\end{figure}
\end{landscape}